Properties

Label 15600.bw
Number of curves $1$
Conductor $15600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bw1")
 
E.isogeny_class()
 

Elliptic curves in class 15600.bw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bw1 15600cp1 \([0, 1, 0, -18208, 977588]\) \(-417267265/19773\) \(-31636800000000\) \([]\) \(46080\) \(1.3532\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 15600.bw do not have complex multiplication.

Modular form 15600.2.a.bw

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{7} + q^{9} + q^{11} - q^{13} + 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display